Details

analyze183.0ms (7.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	74.9%	25.1%	4
0%	74.9%	25.1%	5
0%	62.4%	37.6%	6
12.5%	43.7%	43.8%	7
12.5%	43.7%	43.8%	8
25%	28.1%	47%	9
28.1%	20.3%	51.6%	10
28.1%	20.3%	51.6%	11
34.3%	13.3%	52.4%	12
35.9%	9.8%	54.4%	13
35.9%	9.8%	54.4%	14

sample21.0ms (0.9%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	80	valid
0.0ms	10×	body	80	invalid
0.0ms	4×	body	80	nan

simplify138.0ms (5.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (136.0ms)

Iter	Nodes	Cost
0	4855	12
1	4855	12

prune7.0ms (0.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.1b

Counts

2 → 1

localize10.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
0.0b	(+ (- 1.0 z) (log z))
0.2b	(* y (+ (- 1.0 z) (log z)))

rewrite24.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`*-un-lft-identity`
9×	`pow1`
8×	`add-sqr-sqrt` `distribute-lft-out` `add-log-exp`
7×	`associate-r`
6×	`add-cube-cbrt`
5×	`add-exp-log` `associate-+r+` `add-cbrt-cube`
4×	`log-pow` `distribute-lft-out--`
3×	`log-prod` `flip3-+` `associate-l` `sum-log` `flip-+`
2×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `associate-*r/`
1×	`associate-+l-` `sub-neg` `associate-+l+` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 60

Calls

3 calls:

10.0ms	(* y (+ (- 1.0 z) (log z)))
7.0ms	(+ (- 1.0 z) (log z))
6.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))

series44.0ms (1.9%)

Counts

3 → 9

Calls

3 calls:

17.0ms	(+ (- 1.0 z) (log z))
14.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
13.0ms	(* y (+ (- 1.0 z) (log z)))

simplify54.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5073	702

prune115.0ms (4.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	64	5	69
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	65	5	70

Merged error: 0.0b

Counts

70 → 5

localize11.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(* y (- 1.0 z))
0.0b	(+ (* x 0.5) (+ (* y (- 1.0 z)) (* y (log z))))
0.1b	(+ (* y (- 1.0 z)) (* y (log z)))
0.2b	(* y (log z))

rewrite32.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
12×	`add-cube-cbrt` `log-prod`
11×	`add-log-exp`
9×	`pow1` `associate-r`
8×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube`
7×	`associate-+r+`
6×	`associate-l`
4×	`sub-neg` `sum-log`
2×	`+-commutative` `associate-+l+` `flip3-+` `associate-r/` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`
1×	`flip3--` `log-pow` `flip--` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 82

Calls

4 calls:

9.0ms	(* y (- 1.0 z))
8.0ms	(+ (* x 0.5) (+ (* y (- 1.0 z)) (* y (log z))))
8.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
5.0ms	(* y (log z))

series39.0ms (1.7%)

Counts

4 → 12

Calls

4 calls:

14.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
13.0ms	(+ (* x 0.5) (+ (* y (- 1.0 z)) (* y (log z))))
7.0ms	(* y (log z))
5.0ms	(* y (- 1.0 z))

simplify44.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5059	851

prune141.0ms (6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	93	1	94
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	94	5	99

Merged error: 0.0b

Counts

99 → 5

localize15.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.2b	(* y (+ (* 2 (log (cbrt z))) (- 1.0 z)))
0.3b	(* y (log (cbrt z)))
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite18.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
12×	`cbrt-prod` `log-prod`
9×	`pow1`
8×	`add-exp-log` `associate-r` `add-cbrt-cube`
7×	`distribute-rgt-in` `distribute-lft-in`
6×	`associate-l`
4×	`add-log-exp`
3×	`pow1/3`
2×	`associate-r/` `pow-prod-down` `prod-exp` `log-pow` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`flip3-+` `flip-+`

Counts

4 → 76

Calls

4 calls:

9.0ms	(* y (+ (* 2 (log (cbrt z))) (- 1.0 z)))
5.0ms	(* y (log (cbrt z)))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series98.0ms (4.2%)

Counts

4 → 12

Calls

4 calls:

34.0ms	(* y (+ (* 2 (log (cbrt z))) (- 1.0 z)))
23.0ms	(cbrt z)
21.0ms	(cbrt z)
19.0ms	(* y (log (cbrt z)))

simplify34.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5357	715

prune134.0ms (5.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	88	5	93

Merged error: 0.0b

Counts

93 → 5

localize14.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.2b	(* y (+ (+ (- 1.0 z) (* 2 (log (cbrt z)))) (log (cbrt z))))
0.2b	(+ (+ (- 1.0 z) (* 2 (log (cbrt z)))) (log (cbrt z)))
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite28.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`*-un-lft-identity`
12×	`add-sqr-sqrt`
10×	`add-cube-cbrt` `add-log-exp`
9×	`cbrt-prod`
8×	`pow1`
6×	`add-exp-log` `associate-+r+` `log-prod` `add-cbrt-cube`
5×	`associate-r` `sum-log`
4×	`distribute-lft-out`
3×	`associate-l`
2×	`associate-+l-` `flip3-+` `pow1/3` `associate-*r/` `log-pow` `flip-+`
1×	`+-commutative` `distribute-rgt-in` `associate-+l+` `distribute-lft-in` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 69

Calls

4 calls:

14.0ms	(* y (+ (+ (- 1.0 z) (* 2 (log (cbrt z)))) (log (cbrt z))))
10.0ms	(+ (+ (- 1.0 z) (* 2 (log (cbrt z)))) (log (cbrt z)))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series126.0ms (5.4%)

Counts

4 → 12

Calls

4 calls:

49.0ms	(+ (+ (- 1.0 z) (* 2 (log (cbrt z)))) (log (cbrt z)))
34.0ms	(* y (+ (+ (- 1.0 z) (* 2 (log (cbrt z)))) (log (cbrt z))))
21.0ms	(cbrt z)
21.0ms	(cbrt z)

simplify68.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5013	636

prune108.0ms (4.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	81	5	86

Merged error: 0.0b

Counts

86 → 5

regimes267.0ms (11.4%)

Accuracy

Total 0.1b remaining (86.9%)

Threshold costs 0.1b (86.9%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	14
1	27	14

end0.0ms (0%)

sample572.0ms (24.4%)

Algorithm

1×

intervals

Results

368.0ms	8000×	body	80	valid
14.0ms	321×	body	80	invalid
2.0ms	64×	body	80	nan

Details

analyze183.0ms (7.8%)

sample21.0ms (0.9%)

simplify138.0ms (5.9%)

prune7.0ms (0.3%)

localize10.0ms (0.4%)

rewrite24.0ms (1%)

series44.0ms (1.9%)

simplify54.0ms (2.3%)

prune115.0ms (4.9%)

localize11.0ms (0.5%)

rewrite32.0ms (1.4%)

series39.0ms (1.7%)

simplify44.0ms (1.9%)

prune141.0ms (6%)

localize15.0ms (0.6%)

rewrite18.0ms (0.8%)

series98.0ms (4.2%)

simplify34.0ms (1.5%)

prune134.0ms (5.7%)

localize14.0ms (0.6%)

rewrite28.0ms (1.2%)

series126.0ms (5.4%)

simplify68.0ms (2.9%)

prune108.0ms (4.6%)

regimes267.0ms (11.4%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample572.0ms (24.4%)

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